let X1 and X2 be independent Poisson variables with respective parameters μ1 and μ2. Let S = X1 + X2. Is X1 given S=s a binomial dsitribution? What is the parameters?
I just can show that S is a Poisson with mean μ1 + μ2. But I am not confirm X1 given S is a binomial or not? Someone please...
consider the following model for aggregate claim amounts S:
S=X1+X2+...+XN
where the Xi are independent, identically distributed random
variables representing individual claim amounts and N is a random
variable,independent of the Xi and representing the number of
claims.let X has ìx and...